661.35 is what percent of 1701.85 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1701.85 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1701.85, so we can write it down as 100%=1701.85.
4. We know, that x% equals 661.35 of the output value, so we can write it down as x%=661.35.
5. Now we have two simple equations:
1) 100%=1701.85
2) x%=661.35
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1701.85/661.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 661.35 is what percent of 1701.85

100%/x%=1701.85/661.35
(100/x)*x=(1701.85/661.35)*x       - we multiply both sides of the equation by x
100=2.5732970439253*x       - we divide both sides of the equation by (2.5732970439253) to get x
100/2.5732970439253=x
38.860651643799=x
x=38.860651643799

now we have:
661.35 is 38.860651643799% of 1701.85